what are the quotient and remainder when a) 44 is divided by 8? b) 777 is divided by 21? c) −123 is divided by 19

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          \(=\frac{360}{10}=36degree\)

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

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Answer:

Acute

Step-by-step explanation:

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

right triangle

Step-by-step explanation:

The square of the longest side is equal to the sum of the squares on the other 2 sides, that is

17² = 289

8² + 15² = 64 + 225 = 289

Thus by Pythagoras' identity the triangle is right

Answer and explanation:

Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:  

Number of years 1 2 3

Option 1 (amount in dollars) 1100 1200 1300

Option 2 (amount in dollars) 1100 1210 1331  

To find:

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?  

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?

Solution:

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Part A:

In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.

In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.

Part B:

For option 1, the function is

For option 2, the function is

Here, x is the increase in amount every consecutive year.

Part C:

After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.

Therefore,

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Hope this helps

Answer:

Bismuth

Step-by-step explanation:

Since it is the only metal in group 15

Bismuth (Bi) is the element

Answer:

the 2 is in the ones place. if you got that wrong then its in the tenths. but im 99 percent sure im correct with the first one.

Step-by-step explanation:

The value of 2 in the decimal 304.72 is 2/100.

A decimal is a number that is made up of integers and non-integers. The whole numbers are separated from numbers that are not whole number by a decimal point.

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Answer:

$6.25n+$3.50

Step-by-step explanation:

 Solve;

Assume the cost is y

then y = 6.25n + 3.50 ($)

{6.25n is the cost of n lunches and 3.50 is the delivery fee}

[RevyBreeze]

The sign of 'a' for the given quadratic function is positive.

We know that the vertex form of a quadratic function is given by:
\(f(x) = a(x - h)^2 + k\)
where (h, k) represents the coordinates of the vertex. In this case, the vertex is (2, 8), so we have:
\(f(x) = a(x - 2)^2 + 8\)
We are also given that the y-intercept is (0, 4). Substituting these coordinates into the equation, we have:
\(4 = a(0 - 2)^2 + 8\)
4 = 4a + 8
Simplifying the equation, we get:
4a = -4
a = -1
From this calculation, we find that 'a' is equal to -1. However, this implies that the quadratic function is facing downward, which contradicts the information given that the vertex is at (2, 8) above the y-axis. Therefore, the sign of 'a' must be positive to ensure the quadratic function opens upwards, consistent with the given vertex and y-intercept.

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The row percentage of A is 0% , B is 83.3% and of C is 15.4%.

Percentage describes the relative value of a number. Its shows the 100th part of the number with respect to a number whose value is provided in the problem.

Here various data is given about A, B and C in the format of two tables and this shows the relationship between the two.

Now, the row  percentage of A is

\(\frac{0}{5} * 100=0%\)%

Then, the row percentage of B is

\(\frac{10}{12}*100 = 83.3%\)%

Now, we have to find the row percentage of C

\(\frac{2}{13}*100 = 15.4%\).%

Hence, The row percentage of A is 0, the row percentage of B is 83.3% and the row percentage of C is 15.5%.

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The demand function relating unit price, p(x), to the quantity demanded, x, is: P(x) = -7x^2 + 8x + 15

(a) To determine the revenue function, we need to integrate the marginal revenue function R"(x).

R'(x) = -21x^2 + 16x + 15

Integrating R'(x) gives us the revenue function:

R(x) = -7x^3 + 8x^2 + 15x + C

where C is the constant of integration. Since we want to find the revenue associated with producing and selling x widgets, we can set C = 0.

Therefore, the revenue function associated with producing and selling x widgets is:

R(x) = -7x^3 + 8x^2 + 15x

(b) To determine the demand function, we need to use the inverse demand method.

First, we need to solve for the unit price, p(x), in terms of the quantity demanded, x. We know that revenue, R(x), is equal to the product of the unit price, p(x), and the quantity demanded, x:

R(x) = p(x) * x

Substituting the revenue function we found in part (a), we get:

-7x^3 + 8x^2 + 15x = p(x) * x

Solving for p(x), we get:

p(x) = (-7x^2 + 8x + 15)

Therefore, the demand function relating unit price, p(x), to the quantity demanded, x, is:

P(x) = -7x^2 + 8x + 15

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The constant of integration is included in the answer, represented by C.

We can start by using substitution to simplify the integral. Let u = tan x, then du/dx = sec^2 x dx. Using this substitution, the integral becomes:

∫ 7 tan^2 x sec x dx = ∫ 7 u^2 du

Integrating, we get:

∫ 7 tan^2 x sec x dx = (7/3)u^3 + C

Now we substitute back in for u:

(7/3)tan^3 x + C

Since the integral involves an odd power of the tangent function, we must consider the absolute value of the tangent function. Therefore, the final answer is:

∫ 7 tan^2 x sec x dx = (7/3)|tan x|^3 + C

Note that the constant of integration is included in the answer, represented by C.

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Answer:

b

Step-by-step explanation:

yp

Answer:

huh

Step-by-step explanation:

Answer:

When i24 is increased by 25% the answer is 30

Yes, this is true. This phenomenon is known as the Central Limit Theorem and it states that, as the sample size increases, the distribution of the sample mean converges to a normal distribution.

Yes, this is true. According to the Central Limit Theorem, as the sample size increases, the distribution of the sample mean converges to a normal distribution. This means that, when the sample size is large enough, the histogram of sample means will appear to be close to a normal distribution. This is because the mean of a large enough sample size will be close to the population mean, regardless of the shape of the original population distribution.

The Central Limit Theorem also states that the larger the sample size, the more closely the sample distribution will resemble a normal distribution. This is why, when the sample size is large enough, a histogram of sample means will appear to be a normal distribution.

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The distance a car travels varies directly with the amount of gasoline it uses. If a car uses 28 gallons of gasoline to travel 924 miles, the car can travel 627 miles with 19 gallons of gasoline.

We can set up a proportion to solve the problem:

distance / gasoline = constant

Let's use x to represent the distance the car can travel with 19 gallons of gasoline:

924 / 28 = x / 19

Simplifying and solving for x:

x = (924 / 28) * 19 = 627 miles

Therefore, the car can travel 627 miles with 19 gallons of gasoline.

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Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

The solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

To solve the system of equations:

2X + 4Y + 2Z = 144 (Equation 1)

0.5X + 0.25Y = 60 (Equation 2)

1.5X + 0.5Y + Z = 36 (Equation 3)

We can use row operations to simplify and solve the system.

Let's start with Equation 2. Multiply both sides of Equation 2 by 4 to eliminate decimals:

2X + Y = 240 (Equation 4)

Now, let's solve Equations 1 and 4 using row operations. Multiply Equation 4 by -2 and add it to Equation 1:

-4X - 2Y = -480 (Equation 5)

2X + 4Y + 2Z = 144 (Equation 1)

   2Y + 2Z = -336  (Equation 6)

Next, let's solve Equations 3 and 6 using row operations. Multiply Equation 6 by -3 and add it to Equation 3:

-3Y - 3Z = 1008 (Equation 7)

1.5X + 0.5Y + Z = 36 (Equation 3)

1.5X - 2.5Z = -972 (Equation 8)

We now have a simplified system of equations:

2Y + 2Z = -336 (Equation 6)

1.5X - 2.5Z = -972 (Equation 8)

-3Y - 3Z = 1008 (Equation 7)

Now, we can solve this system by using additional row operations.

Multiply Equation 6 by 1.5 and add it to Equation 8:

-4Z = -1452

Solving for Z, we get Z = 363.

Substituting the value of Z back into Equation 6, we can solve for Y:

2Y + 2(363) = -336

2Y = -1062

Y = -531.

Finally, substituting the values of Y and Z into Equation 7, we can solve for X:

-3(-531) - 3(363) = 1008

X = -171.

Therefore, the solution to the system of equations is:

X = -171, Y = -531, and Z = 363.

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Answer:

92 x 49 = 4,508

Step-by-step explanation:

According to the texts, she sold 92 blankets in her first month, bringing her total sales to 92, and each blanket cost $49.

Answer:

f(x)=3(-13)^x

Step-by-step explanation:

since we know that our x=0 then y=3(-13)^0

=3

put it in mind that during the indices we learnt that any number to the power zero is 1 and any number to the power 1 it is the number itself so we can continue to say

y=3(1)

=3

Answer:

C

Step-by-step explanation:

x = 3

y = -4

(3, -4)

Answer:

The answer is C

Step-by-step explanation:

(3,-4)

.................dhdhdgdhdusjshshshs

Answer:

y = 3 + 5x

Step-by-step explanation:

y - 5x = 3 ( isolate y by adding 5x to both sides )

y = 3 + 5x

26x - 52y  is the equivalent expression.

2(13a - 5) is the equivalent expression.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-13 (-2x + 4y)

= -13 x -2x+ -13 x 4y

= 26x - 52y

Now,

26a - 10

Taking out a common factor.

= 2 (13a - 5)

Thus,

26x - 52y and 2(13a - 5) are the equivalent expression.

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Answer:

Step-by-step explanation:

According to the graph, the y-intercept is the point (0, 3), it is the point of intersection of the parabola with the y-axis.

Answer:

A,B,C,D,E,F

Step-by-step explanation:

So it's A,D

The difference in the rate of change between Function A and function B is -2.

The difference in the rate of change between function A and function B, we first need to identify the rate of change for each function. The rate of change, also known as the slope, represents how much the dependent variable (y) changes for every unit increase in the independent variable (x).

Let's assume function A is represented by the equation y = 2x + 3, and function B is represented by the equation y = 4x - 1.

For function A: y = 2x + 3, the coefficient of x is 2, indicating that for every unit increase in x, y increases by 2. Therefore, the rate of change for function A is 2.

For function B: y = 4x - 1, the coefficient of x is 4, indicating that for every unit increase in x, y increases by 4. Therefore, the rate of change for function B is 4.

Now, to find the difference in the rate of change between function A and function B, we subtract the rate of change of function B from the rate of change of function A:

Difference in rate of change = Rate of change of function A - Rate of change of function B

                          = 2 - 4

                          = -2

The difference in the rate of change between function A and function B is -2. This means that for every unit increase in x, function B increases at a rate that is 2 units greater than function A. It indicates that function B has a steeper slope and a faster rate of change compared to function A.

In summary, the difference in the rate of change between function A and function B is -2.

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Answer:

2.9 to the 4th power

Step-by-step explanation:

Answer:

NULL ; TRUE

Step-by-step explanation:

The sampling distribution is on the assumption that the null hypothesis is true .

The null hypothesis is a general statement that states that there

is no relationship between two phenomenon's under

consideration or that there is no association between two groups.

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The sampling distribution is based on the assumption that the null hypothesis is TRUE.  

A null hypothesis is a general statement that something is. There is no relationship between the two phenomena under or consider that there is no relationship between the two groups.  

The sampling distribution is based on the assumption that the null hypothesis is TRUE.

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Answer:

1+1=2

Step-by-step explanation:

Thanks for the ponts